Question

(a) solve |p| = 7 for p. if there is more than one solution, separate them with commas. if there is no solution, click on
o solution\. correct answer: p = 7, -7 progress: 1/5 part 2 of 5 (b) solve |p| > 7 for p. if there is no solution, click on
o solution\. if the solution is all real numbers, click on \all reals\.

Explanation:

Step1: Recall absolute value inequality rule

The absolute value inequality \(|x| > a\) (where \(a>0\)) is equivalent to \(x > a\) or \(x < -a\). Here, \(x = p\) and \(a = 7\).

Step2: Apply the rule to \(|p| > 7\)

Using the rule from Step 1, we get two inequalities: \(p > 7\) or \(p < - 7\).

Answer:

\(p < -7\) or \(p > 7\) (in interval notation: \((-\infty, -7) \cup (7, \infty)\))